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Home » Case 1: \( b - 3 = 5 \Rightarrow b = 8 \) - Nelissen Grade advocaten

Case 1: \( b - 3 = 5 \Rightarrow b = 8 \) - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \( a^3 + b^3 = 880 \)

📌 = 10^3 - 3ab(10)

📌 = 1000 - 30ab

📌 30ab = 1000 - 880 = 120

📌 Therefore, the product of the dimensions is \(oxed{4}\).Question: Let $ f(x) $ be a polynomial such that $ f(1) = 3 $, $ f(2) = 8 $, $ f(3) = 15 $, and $ f(4) = 24 $. Find $ f(5) $, given that $ f(x) $ models the total number of pollen grains collected at day $ x $ in a reconstructed palynological dataset, assuming the growth pattern follows a cubic trend.

📌 Solution: Since $ f(x) $ is a polynomial and four values are given, and the behavior resembles a quadratic pattern ($ 3, 8, 15, 24 $), we first examine the second differences.

📌 First differences:

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